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Finding the Fourth Proportional to 8,042.64, 11,093.28 and 7,381.68

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Solution

The fourth proportional to 8,042.64, 11,093.28 and 7,381.68 is: 10,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.64 : 11,093.28 = 7,381.68 : x
  2. Step 2: Convert to fraction form
    8,042.64/11,093.28 = 7,381.68/x
  3. Step 3: Cross multiply
    8,042.64x = 11,093.28 × 7,381.68
  4. Step 4: Simplify right side
    8,042.64x = 81,887,043.11
  5. Step 5: Solve for x
    x = 81,887,043.11/8,042.64
  6. Step 6: Final answer
    x = 10,181.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.